Use a Graphing Calculator to Graph the Function Using the Given

question 153

Multiple Choice

Use a graphing calculator to graph the function using the given viewing window. Use the graph to decide if the function
is one-to-one. If the function is one-to-one, give the equation of the inverse function.
- $$f ( x ) = x ^ { 3 } - 3 x ^ { 2 } - x + 3 ; [ - 2,4 ] \text { by } [ - 20,20 ]$$

• A) not one-to-one
• B) one-to-one; \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 3 ] { \mathrm { x } - 3 } - \mathrm { x }\)
• C) one-to-one; \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 3 ] { \mathrm { x } ^ { 2 } - 3 \mathrm { x } + 3 }\)
• D) one-to-one; \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 3 ] { \mathrm { x } - 3 }\)